Question

URGENT

What is the equation in slope-intercept form of the line that passes through the points ( -4, 47) and ( 2 , -16)?

Answer 1

`-(21)/(2) x+5`

Explanation:

To find the slope of the equation, you use
`(rise)/(run)` , or
`(y_(2) - y_(1))/(x_(2) - x_(1))` :

`(-16-47)/(2+4)`=
`(-63)/(6)`=
`(-21)/(2)`

Then you have to find the y intercept. First, plug in the x of a point and solve:

`(-21)/(2)` * 2= -21

Then, find the distance between the answer and the y of the given point. Since our answer is smaller than the y of the point, we'll get a positive y- intercept.

21-16=5

This will give us the equation:

`-(21)/(2) x+5`